Verification Examples

A timber beam, reinforced by two steel plates at its ends, is loaded by the pressure. Wood fibres are parallel to the upper loaded side of the beam. The plastic surface is described according to the Tsai-Wu plasticity theory.

Determination of the maximum deflection of the four columns fixed at the bottom and connected by the rigid block at the top. Block is loaded by the pressure and modeled by an elastic material with high modulus of elasticity. Outer columns are modeled as orthotropic elastic material and inner columns as orthotropic elastic-plastic material with the same elastic parameters as outer columns and with plasticity properties defined according to the Tsai-Wu plasticity theory.

A timber beam, reinforced by two steel plates at its ends, is loaded by the pressure. Wood fibres are parallel to the upper loaded side of the beam. The plastic surface is described according to the Tsai-Wu plasticity theory.

Determination of the maximum deflection of a three-dimensional block fixed at the both ends. Block is divided in the middle: The upper half is made of an elastic material and the lower part is made of the timber - an elasto-plastic othotropic material with the yield surface described according to the Tsai-Wu plasticity theory. The block's middle plane is subjected to the vertical pressure.

A cantilever is fully fixed on the left end and subjected to a bending moment considering plasticity.

A three-dimensional block, made of elastic-plastic material, is fixed on the both ends. The block's middle plane is subjected to the pressure load. The surface of plasticity is described according to the Tsai-Wu plasticity theory.

One layered square orthotropic plate is fully fixed at its middle point and subjected to the pressure. Compare the deflections of the plate corners for different fiber angles to check the correctness of the transformation.

A three-dimensional block, made of elastic-plastic material with hardening, is fixed on the both ends. The block's middle plane is subjected to the pressure load. The surface of plasticity is described according to the Tsai‑Wu plasticity theory.

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